Atkin-Lehner |
2+ 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
110032c |
Isogeny class |
Conductor |
110032 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
706560 |
Modular degree for the optimal curve |
Δ |
-77925068745535232 = -1 · 28 · 132 · 239 |
Discriminant |
Eigenvalues |
2+ 0 2 -2 -6 13- 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-206839,-38618058] |
[a1,a2,a3,a4,a6] |
Generators |
[2256138496981282:180842775507062214:349359908507] |
Generators of the group modulo torsion |
j |
-2122416/169 |
j-invariant |
L |
5.6270826642023 |
L(r)(E,1)/r! |
Ω |
0.11142531819747 |
Real period |
R |
25.250467046577 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000024175 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
55016a1 110032d1 |
Quadratic twists by: -4 -23 |